(a) The exponential growth model is P = 5655 e^(0.014t)
(b) Population of the town in 2022 is 6689.5065.
What is Population Growth?Population growth is defined as the number of people increasing over years in a specific region calculated using annual growth rate.
(a) The formula to calculate population growth is,
P = P₀ e^(r t)
Given,
Initial population in 2010, P₀ = 5655
Annual growth rate, r = 1.4% = 0.014
Substituting,
P = 5655 e^(0.014t)
(b) To estimate the population of town in 2022,
t = 2022 - 2010 = 12 years
Substituting value of t in the formula in (a),
P = 5655 e^(0.014 × 12)
= 5655 e^(0.168)
= 5655 × 1.1829
= 6689.5065
Hence the population is 6689.5065 in 2022.
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What's the answer pleaseewwww
A line that intersects a circle in exactly one point.
a. secant
b. tangent
c. segment of a circle
d. sector of a circle
7 + a/3 = 5
PLS HELP ME
I've been siting here for 3 hours trying to figure this out.
Answer:
A=-6 is the answer
Step-by-step explanation:
it's simple
A TRIANGLE has a base of 20 inches and height of 9 inches. What is its area? (a = 1/2bh)
Answer:
90
Step-by-step explanation:
1/2x20x9=90
Please answer this I will mark you Brainly if you answer this right
Answer:
150 This is right 4sure i did this test to.
Step-by-step explanation:
The temperatures of two cities were measured at the same time. The
temperature in city A was 60 degrees and rose at a constant rate of 2
degrees per hour.
The temperature in city B was 40 degrees and rose at a constant rate
of 10 degrees per hour.
Enter the number of hours it took for the temperature to be the same in
both cities.
Answer:
2.5 hours
Step-by-step explanation:
60+2t=40+10t
hope this helps, have a great day :)
Triangles ABC and DFG are similar.
Which proportion can be used to find the value of DG¯¯¯¯¯¯?
a 15/7=5/DG
b DG/15=5/7
c 5/7=15/DG
d 5/DG=15/6
Two triangles A B C and D F G. A B is 5 inches. B C is 6 inches. A C is 7 inches. D F is 15 inches. F G is 18 inches. Angle B is congruent to angle F.
Answer:
C
Step-by-step explanation:
Since every side of ΔABC is dilated by 3, or triple the size
We multiply every length of ΔABC by 3
But the length of DF and FG are already done for us but DG is not, which is essential to finding the answer
7 x 3 = 21
DG = 21
5/7 = 15/21
5 ÷ 7 = 0.71
15/21 = 0.71
5/7 = 15/21
Value of [tex]\boldsymbol{DG}[/tex] in a triangle [tex]DFG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches. To understand the calculations, check below.
Define similar triangles.Two triangles are said to be similar if their sides are proportional and their angles are equal.
Triangles [tex]ABC,DFG[/tex] are similar
[tex]\frac{AB}{DF}=\frac{BC}{FG}=\frac{AC}{DG}[/tex]
[tex]\frac{5}{15}=\frac{7}{DG}[/tex]
[tex]DG=21[/tex] inches
So, value of [tex]DG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches
Find out more information about triangle here:
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5 out of 40 randomly selected students at Oxford Middle School stated that they would like to have a school uniform policy. Based on those results, about how many students out of the 992 enrolled would you expect to want a school uniform policy?
Answer:
124
Step-by-step explanation:
5 out of 40 = ⅛ of the students stated they would like to have a school uniform policy.
992 × ⅛ = 124
please help meee its due soon hurry please !!
I really really need help
Step-by-step explanation:
you can use any two points on the graph but I used the easiest one. It doesn't matter it will give the same result
The length of a rectangle is three meters more than its width the perimeter of the rectangle is 74 meters what are the dimensions of the rectangle
Answer:
17 meters x 20 meters
Step-by-step explanation:
perimeter = 2 widths + 2 lengths
74 = 2W + 2L
L = W + 3
substitute for L
74 = 2W + 2(W + 3)
74 = 4W + 6
68 = 4W
W = 17 meters
L = 20 meters
Answer:
Step-by-step explanation:
Givens
Let the width = w
Then the Length = w + 3
Formula
P = 2L + 2W
P = 74
Solution
Substitute w + 3 for L
2(W + 3) + 2W = 74 Remove the brackets
2W + 6 + 2W = 74 Collect Like Terms
4w + 6 = 74 Subtract 6 from both sides
4w = 74 - 6
4w = 68 Divide by 4
w = 68/4
w = 17
L = w + 3
L = 17 + 3
L = 20
Check
P = 40 + 34
P =74
100% of 100 is ?
100% of 8 is ?
100% of 24 is ?
100% of 36 is ?
100% of ¼ is ?
Answer:
100
8
24
36
1/4
Step-by-step explanation:
Answer:
100
8
24
36
1/4
Step-by-step explanation:
From his home Craig would have to walk due north to get to his friend Devon's house and due east to get to his friend Dereks house.it is 4 miles from Craigs house to derricks House and a straight line distance of 5 miles from devon house to derricks House how far is Craig's house from Devon's house
Answer:
3 miles
Step-by-step explanation:
This is because Derek would be your right angle of the corner of the right triangle. And since the distance is both of those houses from Derek’s house, you would have to use the Pythagorean Theorem to find the difference of the hypotenuse and the leg
Gilligan sees a ship coming close to the shore hes standing on.
i think part a is: yes because both triangles are right angles. it would be postulate SAS
not sure for part b
Lin borrowed 950 for a new laptop. She will pay $25,80 each month for the next 48 months (2 years). Find the amount of
interest Lin will be paying for her loan.
interest Lin will be paying for her loan
Answer:
288,40 $
Step-by-step explanation:
25,80$ / month * 48 months = 1238,40$ total payment.
1238,40$ - 950$ (borrowed) = 288,40 $ payed in interest.
360 miles in 6 hours unit rate
Answer:
60 miles per hour
Step-by-step explanation:
360 miles / 6 hours = 60 miles per hour
Answer:
60, I hope this helped and please mark brainliest!
Step-by-step explanation:
This would be 60 miles per hour since you divide 360 by 6. So the rate is 60.
Help!!! Please HELP!!!
Answer:
D
Step-by-step explanation:
that's where they cross
A tree cast a shadow of 10 ft when the suns rays hit the ground at an angle of elevation of 28 .what is the height of the tree ? Round your answer to the nearest tenth
Answer:
crcrc4cc4crfc
Step-by-step explanation:
Answer:
You can use scale factor
Step-by-step explanation:
line pass through the sets given points. which choice shows perpendicular lines?
Answer:
I have no reference to this question, there is no graph or anything to show me.
Step-by-step explanation:
i need help with the work and math
pls help.....
.....20 points
Answer:
B
Step-by-step explanation:
The simplest way to do this is to take every integer on there and divide it by 3.
8961/3 = 2987
5233/3 = 1744 1/3
10245/3 = 3415
-5469/3 = -1823
Because B does not produce an integer, that is your answer
(This works because of inverse operations)
Please let me know if you have any questions.
10. A standard stop sign measures 30.00 inches from flat to flat. What is the side length, x, of the stop
sign (to the nearest 0.01 in.)? Justify your answer.
30.00 in
Answer:
The answer is "12.426 in".
Step-by-step explanation:
[tex]\to b+2c=30\\\\\to b = 15 \times \tan 22.5 \\\\[/tex]
[tex]= 15 \times 0.414213562\\\\=6.21320343 \times 2 \\\\=12.4264069 \ in \\\\[/tex]
how many centimeters are in 1 millimeter
Answer:
1 milli meter = 0.1 centi meter
34-60 how much apples are they left
Answer:
60-34= 26
Step-by-step explanation:
Cindy and Tim went to the state fair. They paid a $4.50 entry and $1.25 per ride ticket
Find the slope, y-intercept and write the equation for this Linear Relationship.
Step-by-step explanation:
Write more compactly about functional relationships such as, “If you sell x tickets, then your profit will be ... Jason goes to an amusement park where he pays $8 admission and $2 per ride.
please i need this, i've been crying bout it, What is an equation of the line that passes through the point (4,2) and is perpendicular to the line 4x+3y=21?
Answer:
y= 3x/4 − 1
Step-by-step explanation:
Find the equation of direct variation,
given that y varies directly with x,
and x is 36 when y is 99.
An Item is priced at $14.91. If the sales tax is 4%, what does the item cost including the tax? A. 30.42 B. $0.60 C.$15.51 D. $20.87
Answer:
15.51
Step-by-step explanation:
14.91x4%=.60
14.91+.60=15.51
Please help me I don’t know what to do
The side length of a triangle are 6,8 and 12 are these sides of a right triangle
Answer:
Yes it a right triangle!!
Hope it helps you!!
Answer:
No
Step-by-step explanation:
6^2 + 8^2 doesn't equal 12^2